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If A and B are square matrices of same order, in general
AAB ≠ BA
BAB = BA
CAB = 0
DAB = A
Answer & Solution
Correct answer: A. AB ≠ BA
1. Matrix multiplication is associative but NOT commutative in general.
2. Counter-examples are easy to construct using any pair of 2 × 2 matrices.
3. Hence in general AB ≠ BA.
_Source: Maharashtra Balbharati Std XII Mathematics Part 1, Ch 2 "Matrices" §2.4_
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